{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "false-queue",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np \n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.model_selection import KFold\n",
    "from IPython import display"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "occupational-amazon",
   "metadata": {},
   "outputs": [],
   "source": [
    "l = 1e-3           # 初始学习率\n",
    "K = 8              # 交叉验证\n",
    "plt_delta = 1000    # 绘图间隔\n",
    "np.random.seed(12)\n",
    "num_observations = 500\n",
    "x1 = np.random.multivariate_normal(\n",
    "    [0, 0], [[1, .75], [.75, 1]], num_observations)\n",
    "x2 = np.random.multivariate_normal(\n",
    "    [1, 4], [[1, .75], [.75, 1]], num_observations)\n",
    "X = np.vstack((x1, x2)).astype(np.float32)\n",
    "Y = np.hstack((np.zeros(num_observations), np.ones(num_observations)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "demanding-yeast",
   "metadata": {},
   "outputs": [],
   "source": [
    "def shuffle(X, Y, seed=0):  # 随机重排训练数据\n",
    "    np.random.seed(seed)\n",
    "    np.random.shuffle(X)\n",
    "    np.random.seed(seed)\n",
    "    np.random.shuffle(Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "greek-sheriff",
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.hstack((X, np.ones((2*num_observations, 1))))  # bias合并到weights\n",
    "w = np.random.rand(3)                                 # 随机权重\n",
    "ww = w.copy()\n",
    "shuffle(X, Y)\n",
    "X_train, X_test = X[:800], X[800:]\n",
    "Y_train, Y_test = Y[:800], Y[800:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "reduced-terminology",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((800, 3), (800,), (200, 3), (200,), (3,))"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.shape, Y_train.shape, X_test.shape, Y_test.shape, w.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "careful-commodity",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot(X, Y):\n",
    "    plt.scatter(X[:, 0], X[:, 1], c=Y, alpha=0.9, cmap=plt.cm.Spectral)\n",
    "    plt.plot([-4,4],[(0.5-w[2]-w[0]*(-4))/w[1],(0.5-w[2]-w[0]*(4))/w[1]],'g')\n",
    "    plt.ylim([-5,8])\n",
    "    display.clear_output(wait=True)\n",
    "    plt.title(f'acc = {np.sum((w.dot(X.T) > 0.5) == Y.astype(np.bool))/len(X)}')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "casual-principal",
   "metadata": {},
   "outputs": [],
   "source": [
    "acc = []\n",
    "mxacc = 0\n",
    "mxw = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "continuing-architecture",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y=1.6899796808155572+0.6374359716957585*x\n"
     ]
    }
   ],
   "source": [
    "plt_idx = 0\n",
    "for _ in range(10):\n",
    "    kf = KFold(n_splits=K, shuffle=True)\n",
    "    for t, v in kf.split(X_train):\n",
    "        l *= 0.95               # 学习率衰减\n",
    "        tx, ty = X_train[t], Y_train[t]\n",
    "        vx, vy = X_train[v], Y_train[v]\n",
    "        for x, y in zip(tx, ty):\n",
    "            d = w.dot(x.T)-y   # 计算估计与实际的差值\n",
    "            w -= l*d*x         # 更新权重\n",
    "            if plt_idx % plt_delta == plt_delta-1:\n",
    "                plot(X_train, Y_train)\n",
    "            plt_idx += 1\n",
    "            acc.append(np.sum((w.dot(vx.T) > 0.5) ==\n",
    "                              vy.astype(np.bool))/len(vx))\n",
    "        if acc[-1]>mxacc:\n",
    "            mxw=w\n",
    "print(f\"y={(0.5-w[2])/w[1]}+{-w[0]/w[1]}*x\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "heard-melissa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7ff1419eca90>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(acc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "veterinary-float",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "w=mxw\n",
    "plot(X_test, Y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "placed-meter",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
